Efficient isolation of polynomial's real roots. (Q1421215)
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scientific article; zbMATH DE number 2032611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Efficient isolation of polynomial's real roots. |
scientific article; zbMATH DE number 2032611 |
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Efficient isolation of polynomial's real roots. (English)
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26 January 2004
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The paper is devoted to the efficient isolation of real roots of a polynomial, by means of specific algorithms based on Descartes's rule of signs and on the bisection method. The hybrid version proposed by the authors, obtained by using an interval-arithmetic filter, is suitable for polynomials of high degree with huge integer coefficients. Detailed numerical comparative experiments are presented.
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univariate polynomial
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isolation of real root
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Descartes's rule of signs
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algorithm
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bisection method
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interval-arithmetic filter
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numerical examples
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